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Marrrta [24]
3 years ago
12

[ 1 ] check whether -3 and 3 are the zeroes of the polynomial x² - 9.

Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Answer:

<h3>#1</h3>
  • x² - 9 = 0
  • x² = 9
  • x = ± √9
  • x = ± 3

Yes, -3 and 3 are zeroes of this polynomial

<h3>#2</h3>

<em>See attached graphs</em>

Zero's of a polynomial are the intersection of the graph with the x-axis.

They include coordinates as (x, 0), so the x-coordinates are zero's.

The attached shows the zero's.

<h3>#3</h3>

<em>See attached graphs</em>

Zero's of each polynomial are reflected in the graphs.

  • () y = x² - x - 6 has zeros x = -2 and x = 3
  • (ii) y = 6 - x - x² has zero's x = -3, x = 2

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3 years ago
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the roofto
d1i1m1o1n [39]

Answer:

The distance between two cars is 110.64 feet.

Step-by-step explanation:

Angle of depression is defined as an angle between the line of sight and the horizontal.

Remember in a right angled triangle, the angle of depression is always same as the angle of elevation.

If \theta be the angle of depression then,

tan\theta=\frac{opposite}{adjacent}

Given that,

Two car are travelling toward a hotel on the same road.

The height of the given building is 600 feet.

For the first car:

The angle of depression = The angle of elevation = 52°

Let the horizontal distance between the building and the car be x.

Here, \theta =52 ^\circ, opposite = 600 feet, adjacent = x

tan 52^\circ=\frac{600}{x}

\Rightarrow x=\frac{600}{tan 52^\circ}

\Rightarrow x\approx 468.77 feet

For the second car:

The angle of depression = The angle of elevation = 46°

Let the horizontal distance between the building and the car be y.

Here, \theta =46 ^\circ, opposite = 600 feet, adjacent = y

tan 46^\circ=\frac{600}{y}

\Rightarrow y=\frac{600}{tan 46^\circ}

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The distance between two cars is

= The distance of the second car from the building - The distance of the first car from the building

=(579.41-468.77) feet

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3 years ago
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